An instability condition for the Hartree-Fock solution of the infinite one-dimensional system with two-crossing bands. I. Singlet-instability check of metallic carbon nanotube

摘要

An instability condition is derived for the Hartree-Fock solution so that it can be applied to the system in which the highest occupied and the lowest unoccupied bands cross at the in-between point in the Brillouin zone. The instability check developed here is further applied to a metallic single-walled carbon nanotube having the two-crossing bands toward prediction of its instability. (C) 2000 John Wiley & sons, Inc. [References: 24]